I think I’m right but mabye there is another corrects answer
1 answer:
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Answer:
h=30cm
Base sides, x=30cm
Step-by-step explanation:
Let x be the dimension of the sides and h the dimension of height;
#Material used is directly proportional to surface area. Minimizing surface area will minimize the amount of material used.
Find area as a function of x:
To minimize Area, we find the first derivative of Area:
#find the second derivative to verify the minimum:
Substitute x in the volume equation to find h:
Hence, the dimensions of the box that minimize the amount of material used h=30cm and x=30cm